Advertisements
Advertisements
Question
The conjugate of the complex number `(1 - i)/(1 + i)` is ______.
Fill in the Blanks
Advertisements
Solution
The conjugate of the complex number `(1 - i)/(1 + i)` is ______.
Explanation:
`(1 - i)/(1 + i) = (1 - i)/(1 + i) xx (1 - i)/(1 - i)`
= `(1 + i^2 - 2i)/(1 - i^2)`
= `(1 - 1 - 2i)/(1 + 1)`
= –i
Hence, conjugate of `(1 - i)/(1 + i)` is i.
shaalaa.com
Is there an error in this question or solution?
